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Proof step 86 from proof reachable-addnew-rev (previous step)

reachable(r, r0, H[H[r0].nxt, ce]) ∧ reachable(r0, r1, H[H[r0].nxt, ce]) → reachable(r, r1, H[H[r0].nxt, ce]), reachable(ce.nxt, r1, H[H[r0].nxt, ce]), reachable(r, r0, H[H[r0].nxt, ce]), reachable(r, r0, H), r ∈ H, r0 ∈ H, r0 ∈ H[H[r0].nxt, ce], r1 ∈ H[H[r0].nxt, ce], r1 = H[r0].nxt ∨ reachable(ce.nxt, r1, H) ⊦ H[r0].nxt = null, reachable(r, r1, H[H[r0].nxt, ce]), reachable(r, r1, H), H[r0].nxt ∈ H

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 87:
reachable(ce.nxt, r1, H[H[r0].nxt, ce]), reachable(r, r0, H[H[r0].nxt, ce]), reachable(r, r0, H), r ∈ H, r0 ∈ H, r0 ∈ H[H[r0].nxt, ce], r1 ∈ H[H[r0].nxt, ce], r1 = H[r0].nxt ∨ reachable(ce.nxt, r1, H) ⊦ H[r0].nxt = null, reachable(r, r1, H[H[r0].nxt, ce]), reachable(r, r1, H), H[r0].nxt ∈ H, reachable(r0, r1, H[H[r0].nxt, ce])

Rule argument

Additional information

Used simplifier rules: reachable-addnew: ⊦ reachable(r, r1, H) ∧ ¬ r2 ∈ H → (¬ reachable(r, r1, H[r2, ce]) ↔ false);